This week was all about all about gifs and derivatives. We used desmos to create graphs that relate to the derivative unit in class. I honestly started out really confused trying to make the graphs. I understood the concept and why we were doing it in order to learn about secant and tangent lines in relation to slope. However, I was very unsure how to actually create the graphs. I was able to figure out the first one in class, with help, but on the on the second one I was totally lost. I eventually figured out how to do it by evaluating each formula and how it related to the graph as a whole. I'm glad I figured it out on my own so I can understand the concept better. The first graph depicts the slope of the tangent line as it gets closer to the point (2,2) on the graph f(x)=.5x^2. The second is relatively the same but instead of a stationary point, it uses points f(a) and f(b). On the third i switched f(x) to equal the sec(x) mostly because I thought it would look cool (it does). It is also interesting to watch the points as they jump to different infinities.
The rest of the week we spent time doing lessons on derivatives. They make a lot of sense to me now that I understand how they are supposed to work. Last year I remember discussing them and doing related problems but I never knew why or what they were for. It is nice being able to connect everything and know the background of the formula.